anonymous
  • anonymous
There are (4^2)^3 ⋅ 4^0 horses on a stud farm. What is the total number of horses on the farm?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@nnesha
Nnesha
  • Nnesha
when we multiply same bases we should `add` exponents \[\huge\rm x^m \times x^n=x^{m+n}\]
Nnesha
  • Nnesha
ohh forgot the exponent rule \[\huge\rm (x^m)^n =x^{m \times n }\] first apply this

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More answers

anonymous
  • anonymous
@nnesha so the answer is 4^6?
Nnesha
  • Nnesha
yes right!
anonymous
  • anonymous
@nnesha can you help with one more?
Nnesha
  • Nnesha
i'll try
anonymous
  • anonymous
What is the value of 3 to the power 2 over 3 to the power 4?
Nnesha
  • Nnesha
and when we divide same base , `subtract` their exponents \[\huge\rm \frac{ x^m }{ x^n }=x^{m-n}\]
anonymous
  • anonymous
options are : 1/81, 1/27, 1/9, 1/3
Nnesha
  • Nnesha
for exxponents you should remember these exponent rules
anonymous
  • anonymous
right that would be 3^-2 but that's not an option
Nnesha
  • Nnesha
yes now we should convert negative to positive exponent \[\huge\rm x^{-m}=\frac{ 1 }{ x^m }\]
Nnesha
  • Nnesha
flip the fraction ) when u flip it the sign of the exponent would change
anonymous
  • anonymous
so the answer is 1/3??
Nnesha
  • Nnesha
what about the exponent ?
anonymous
  • anonymous
none of the options have exponents
Nnesha
  • Nnesha
oh well at the end we will not have the exponent ethr \[3^{-2} =???\]
anonymous
  • anonymous
im confused.. is the answer not 1/3/?
Nnesha
  • Nnesha
no
Nnesha
  • Nnesha
look at this exponent rule when i flipped the fraction i just changed the sign exponent would stay the same \[\huge\rm x^{-m}=\frac{ 1 }{ x^m }\]

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